Converting 0.11328 to a Fraction
Step-by-step explanation of how to convert 0.11328 to a fraction

Result

0.11328 =
354
3125

Step 1: Identify the number of decimal places

The decimal 0.11328 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.11328 × 100000 = 11328

Step 3: Write as a fraction

0.11328 =

11328
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 11328 and 100000.

GCD(11328, 100000) = 32

Divide both the numerator and denominator by the GCD:

11328
100000

=

11328 ÷ 32
100000 ÷ 32

=

354
3125
Related Conversions
Other decimal to fraction conversions you might find useful